Normal forms for germs of vector fields with quadratic leading part. The polynomial first integral case

DOI10.1016/J.JDE.2015.08.006zbMath1321.05134OpenAlexW1623546079MaRDI QIDQ496765

Ewa Stróżyna

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.006

zbMATH Keywords

formal orbital normal formnon-orbital normal formsingularity of plane vector field

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

Formal Normal Forms for Germs of Vector Fields with Quadratic Leading Part. The Rational First Integral Case ⋮ Analytical integrability of perturbations of quadratic systems ⋮ Analytical integrability problem for perturbations of cubic Kolmogorov systems ⋮ Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity ^*

Cites Work

• Further reduction of the Takens-Bogdanov normal form
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